_Duncan the First_--1034–1040. Upon the death of Malcolm the Second the direct male line of Kenneth MacAlpin became extinct; but the rights of the royal race, originally inherited through the female line, were transmitted in the same manner through heiresses to the two great families of Atholl and Moray, whose disputes for the crown were destined to become as fruitful a source of strife and bloodshed as the sanguinary struggle between their immediate ancestors, or the earlier feuds between the lines of Constantine and Aodh. Boedhe, the death of whose son has been already noticed, left a daughter, Gruoch, who, by her marriage with Gilcomgain, the son of Malbride MacRory, carried the claims of the line of Duff, after the death of her brother, into the family of the Moray Mormaors. Finlay MacRory, the antagonist of Sigurd Lodverson, lost his life in a feud with his nephews Malcolm and Gilcomgain, to the former of whom the earldom reverted according to the Gaelic rule of succession, until his death in 1029, when it fell into the possession of his younger brother Gilcomgain. Three years later the Mormaor was surprised and burnt in his _Rath_ or fortress, with fifty of his immediate followers, leaving an infant son, Lulach, who, after the death of Boedhe’s son in the following year became the sole remaining representative of the line of Kenneth Macduff. Gruoch, the widow of Gilcomgain, was married eventually to Macbeth MacFinlay,[133] who had succeeded her late husband and his own cousin in the Mormaorship of Moray, when, as the husband of Gruoch and the guardian of the infant Lulach, Macbeth became the representative during the minority of the latter of his claims upon the crown of Scotland. Bethoc, or Beatrice, the eldest of the late king’s daughters, carried her claims to the race of Atholl by her marriage with Crinan, Abbot of Dunkeld, who was also the head of the Atholl family.[134] Their son was Duncan, the heir and successor of his grandfather, who, before his accession to the throne of Scotland, had been placed by Malcolm over the dependent province of Strath Clyde.